The Pauli principle in a three-body cluster model and the momentum distributions after fragmentation of 6He and 11Li

Abstract

We investigate two simple prescriptions to account for the Pauli principle in a three-body cluster model employing a new method based on an adiabatic hyperspherical expansion to solve the Faddeev equations in coordinate space. The resulting wave functions are computed and compared. They are furthermore tested on halo nuclei by calculations of momentum distributions and invariant mass spectra arising after fragmentation of fast ${}^6$He and ${}^{11}$Li in collisions with light targets. The prescriptions are very accurate and the available measured quantities are remarkably well reproduced when final state interactions are included.

18 pages, LaTex file, 15 postscript figures included using epsf.sty

References in corpus (4)

• Matter radii of light halo nuclei
• Three-Body Halos. II. from Two- to Three-Body Asymptotics
• Three-body halos. III. Effects of finite core-spin
• Momentum Distributions of Particles from Three--Body Halo Fragmentation: Final State Interactions

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• Sensitivities of the Proton-Nucleus Elastical Scattering Observables of 6He and 8He at Intermediate Energies
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• The Continuum Structure of the Borromean Halo Nucleus 11Li
• Radiative capture reaction for ${}^{17}$Ne formation within a full three-body model
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• Borromean structures in medium-heavy nuclei
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• Origin of Borromean systems
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